Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666cb |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-2391158240598306816 = -1 · 212 · 315 · 72 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-969017,374532729] |
[a1,a2,a3,a4,a6] |
Generators |
[442:5491:1] [-986:19771:1] |
Generators of the group modulo torsion |
j |
-595430701735421505577/14148865328984064 |
j-invariant |
L |
16.957451598205 |
L(r)(E,1)/r! |
Ω |
0.25791727089446 |
Real period |
R |
0.060877443458147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666ba1 |
Quadratic twists by: 13 |